Homepage for Math 477, Section H6. Summer 2006

General Course Information

Room: Hill 552, Busch Campus.
Days: Monday, Wednesday and Friday between July 10 and August 16.
Time: 6:00 pm – 8:30 pm.
Text: Sheldon Ross, A First Course In Probability, 7^th Edition, Prentice Hall.

Lecturer: Eduardo E. Osorio.
Office Hours: Monday, Wednesday and Friday from 5:00 pm to 6:00 pm, in Hill 606. By appointment.

Exams: There will be two midterm exams and a final exam.
Homework: There will be textbook homework. I will collect homework each Monday. I will spot-check it for completeness only. You are responsible for making sure you have done all problems correctly. You should work with friends. If you can do EVERY problem, each in a reasonable amount of time, then you will ace the final. I don't accept late work, so if you must miss class, arrange an alternate time to give me your work.
Quizzes: There will be a short quiz at least once a week. Some will be announced and others a surprise (that's a substitute for taking attendance), but given in class and based on the assigned homework problems. They may cover material discussed the same day. You can use your notes on quizzes. There will be no make-ups for quizzes.
Grades: Your course grade will be determined by your total grade as follows:

Disclaimer: The information here is tentative and subject to change or confirmation by announcement in class

Hand in exercises marked here with *

Write out your answers neatly in complete English sentences and explain your reasoning

P: Problems TE: Theoretical Exercises STP: Self-Test Problems

due 7/17	Chapter 1, P: 1,2,7,9,12,15,18,20,24,26,27,28,31 Chapter 1, TE: 2,8,13,14ab* (hand in both parts) Chapter 2, P: 5,8,12,15d,16,18,20,25,28,33,36,37,39,41,46,50,52,55 Chapter 2, TE: 6, 9*
due 7/24	Chapter 3, P: 1,7,13,14,15,23,24,35,37,38,41,45,55,62,66,73,74,79,84a Chapter 3, TE: 5,7a Chapter 4, P: 2,4, 17,18,19,20,26,30,33,35,40,43* Chapter 4, TE: 5*,6,10 Chapter 4, STP: 1,3,10
due 7/31	Chapter 4, P: 21,28,37,38,51,53,55,58,63,65,73,79 Chapter 4, TE: 17b,27,28 (probabilistic interpretation)
due 8/07	Chapter 5, P: 1,2,4,7,11,14 Chapter 5, P: 15,20,22,23,27,31,32,37,39 Chapter 5, P: 25,29,33,40* Chapter 5, TE: 26,30*
due 8/14	Chapter 5, TE: 14 Chapter 6, P: 9,18,21,22,26,27,33,45,49 Chapter 7, P: 3,9,12,14,18,21,25,30,31 Chapter 7, P: 26,34,36,40,45 Chapter 7, P: 48,50

Please note: This syllabus, and the midterm exam dates, are approximate; our mileage will vary. See the disclaimer for Textbook Homework

A PDF version of the syllabus may be available for print-out

#	Date	Reading	Topics
1	7/10	1.1-1.6	Combinatorial Analysis
2	7/12	2.1-2.3; 2.4	Axioms of Probability; Inclusion/Exclusion
3	7/14	2.5-2.6	Equally Likely Outcomes; Examples
4	7/17	3.1-3.4	Conditional Probability, Independence
5	7/19	3.5; 4.1-4.2; 4.9	P(.\|F) is a probability; Random Variables, Distribution Functions
6	7/21	EXAM 1: # 1-5 (Without Chapter 4)
7	7/24	4.9; 4.3-4.4	C.D.F.s; Discrete RVs; Expectation of DRVs
8	7/26	4.5; 4.6-4.8	Variance of DRVs; Examples of DRVs
9	7/28	4.6-4.8; 4.7	Examples of DRVs; Poisson Processes
10	7/31	4.7; 5.1-5.3	Poisson Processes; Continuous RVs; Expectation and Variance of CRVs; Examples
11	8/02	5.3-5.4	Examples; Normal Approximation to Binomial RV's
12	8/04	EXAM 2: # 7-11
13	8/07	5.5-5.7; 6.1	Exponential; Functions of a RV; Several RV's, Joint Distributions
14	8/09	6.2-6.3; 7.1-7.2	Independence, Sums of Independent RVs, Expectation
15	8/11	7.2; 7.4; 7.7	Linearity of Expectation; Covariance and Correlation, Moment Generating Functions
16	8/14	8.1--8.4	Markov and Chebyshev Inequalities, Weak Law of Large Numbers; The Central Limit Theorem and The Strong Law Of Large Numbers
FINAL EXAM (entire course): August 16, 6:00 - 8:30 pm